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82826256 = 2434340129
BaseRepresentation
bin1001110111111…
…01010000010000
312202212000021010
410323331100100
5132200420011
612115130520
72024003652
oct473752020
9182760233
1082826256
1142831657
12238a3a40
131420c926
14b0006d2
1574111a6
hex4efd410

82826256 has 40 divisors (see below), whose sum is σ = 218949280. Its totient is φ = 26966016.

The previous prime is 82826251. The next prime is 82826297. The reversal of 82826256 is 65262828.

It is not an unprimeable number, because it can be changed into a prime (82826251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18001 + ... + 22128.

It is an arithmetic number, because the mean of its divisors is an integer number (5473732).

Almost surely, 282826256 is an apocalyptic number.

82826256 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

82826256 is an abundant number, since it is smaller than the sum of its proper divisors (136123024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82826256 is a wasteful number, since it uses less digits than its factorization.

82826256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40183 (or 40177 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 82826256 is about 9100.8931429833. The cubic root of 82826256 is about 435.9024835917.

The spelling of 82826256 in words is "eighty-two million, eight hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 40129 80258 120387 160516 240774 321032 481548 642064 963096 1725547 1926192 3451094 5176641 6902188 10353282 13804376 20706564 27608752 41413128 82826256